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Finding the Fourth Proportional to 22,002.64, 33,012.60 and 9,682

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Solution

The fourth proportional to 22,002.64, 33,012.60 and 9,682 is: 14,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.64 : 33,012.60 = 9,682 : x
  2. Step 2: Convert to fraction form
    22,002.64/33,012.60 = 9,682/x
  3. Step 3: Cross multiply
    22,002.64x = 33,012.60 × 9,682
  4. Step 4: Simplify right side
    22,002.64x = 319,627,993.20
  5. Step 5: Solve for x
    x = 319,627,993.20/22,002.64
  6. Step 6: Final answer
    x = 14,526.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.